Not sure how much rewiring will help...unless there are some bad wires, but internal wires rarely go bad themselves. If anything, their connections might come loose, that's all.
What people do with some older mixers is recap them...but that's a process, and depending on which mixer you have, it may or may not be worth the cost, effort and time.
AFA cleaning...that's easy...well, kinda.

Spraying from the top of the mixer into pots and faders is a TOTAL WASTE OF TIME...and you just end up with a big mess.
You have to take it apart...remove all the knobs/buttons, nuts and bolts...remove the metal panel...and then you have a chance to get at the pots/switches and faders.
You need to find the small openings on the pots/switches...and then give them very short/small bursts of deoxidizer/cleaner...and work them.
No need to overspray...you just end up with cleaner running all over everything. The important thing is to get the cleaner INTO the pot, not all over it. That's not easy on some if they are well sealed.
I prefer to use a brush rather than spray. I dip the brush into the cleaner and then work it into the cracks/edges of the pot...some will seep in there, and you won't end up with a mess. Then just "work the pot" a bunch of times back and forth to distribute the cleaner across the contacts.
AFA faders...most need to come apart if they can, and then you **carefully** clean the carbon contact strips. You don't want to hit/bend the actual copper brushes, which may be hard to see...so watch what you are doing!
Also...some faders prefer one cleaner over another.
My advice is call Caig Labs and tell them what brand/model you have...and they will suggest the best cleaning solutions to use.